The scaling properties of the geometrical features of river courses an
d basin boundaries are investigated. These structures show anisotropic
scaling which classify them as self-affine fractals. The self-affine
characteristics of channels and boundaries have been found to be the s
ame across the different river basins analyzed. Using a simulation mod
el of river networks and basin landscapes, the relationship between th
e self-affine characteristics of channels and the three-dimensional st
ructure and evolution of the landscape is shown.